Existence of solutions for hyperbolic differential inclusions in Banach spaces

Nikolaos S. Papageorgiou

Archivum Mathematicum (1992)

  • Volume: 028, Issue: 3-4, page 205-213
  • ISSN: 0044-8753

Abstract

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In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of noncompactness we prove two existence theorems. The first for problems with convex valued orientor fields and the second for problems with nonconvex valued ones.

How to cite

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Papageorgiou, Nikolaos S.. "Existence of solutions for hyperbolic differential inclusions in Banach spaces." Archivum Mathematicum 028.3-4 (1992): 205-213. <http://eudml.org/doc/247330>.

@article{Papageorgiou1992,
abstract = {In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of noncompactness we prove two existence theorems. The first for problems with convex valued orientor fields and the second for problems with nonconvex valued ones.},
author = {Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {hyperbolic inclusion; measure of noncompactness; measurable multifunction; upper and lower semicontinuous multifunctions; fixed point; multi-valued functions; fixed point; nonlinear hyperbolic inclusions; Banach spaces; compactness condition; ball measure of non-compactness; existence theorems; convex valued orientor fields; nonconvex valued},
language = {eng},
number = {3-4},
pages = {205-213},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Existence of solutions for hyperbolic differential inclusions in Banach spaces},
url = {http://eudml.org/doc/247330},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - Existence of solutions for hyperbolic differential inclusions in Banach spaces
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 205
EP - 213
AB - In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of noncompactness we prove two existence theorems. The first for problems with convex valued orientor fields and the second for problems with nonconvex valued ones.
LA - eng
KW - hyperbolic inclusion; measure of noncompactness; measurable multifunction; upper and lower semicontinuous multifunctions; fixed point; multi-valued functions; fixed point; nonlinear hyperbolic inclusions; Banach spaces; compactness condition; ball measure of non-compactness; existence theorems; convex valued orientor fields; nonconvex valued
UR - http://eudml.org/doc/247330
ER -

References

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  12. Convergence theorems for Banach space valued integrable multifunctions, Intern. J. Math. Sci. 10 (1987), 433-442. (1987) Zbl0619.28009MR0896595
  13. Fixed point theorems for condensing multivalued mappings on a locally convex topological space, Bull. Austr. Math. Soc. 12 (1975), 161-170. (1975) MR0383167
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